COLLOCATION AND QUADRATURE METHODS FOR SOLVING SINGULAR INTEGRAL EQUATIONS WITH PIECEWISE CONTINUOUS COEFFICIENTS
Date
2006
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Institutul de Matematică şi Informatică al AŞM
Abstract
The computation schemes of collocation and mechanical quadraturemethods for approximate solving of the complete singular integral equations withpiecewise continuous coefficients and a regular kernel with weak singularity are elab-orated. The case when the equations are defined on the unit circumference of thecomplex plane is examined. The sufficient conditions for the convergence of thesemethods in the spaceL2are obtained.
Description
Keywords
cauchy singular integral equations, ecewise continuousco efficient, collocation method, quadrature method
Citation
CAPCELEA, Titu. Collocation and Quadrature Methods for Solving Singular Integral Equations with Piecewise Continuous Coefficients. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2006, nr. 3(52), pp. 27-44. ISSN 1024-7696.